118388872684800 has 2160 divisors, whose sum is σ = 489868908883200. Its totient is φ = 28034806579200.

The previous prime is 118388872684799. The next prime is 118388872684807. The reversal of 118388872684800 is 8486278883811.

118388872684800 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 8 + 8 + 87 + 2 + 68 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118388872684807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45377105896 + ... + 45377108504.

It is an arithmetic number, because the mean of its divisors is an integer number (226791161520).

Almost surely, 2^{118388872684800} is an apocalyptic number.

118388872684800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118388872684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244934454441600).

118388872684800 is an abundant number, since it is smaller than the sum of its proper divisors (371480036198400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

118388872684800 is a wasteful number, since it uses less digits than its factorization.

118388872684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 264241152, while the sum is 72.

The spelling of 118388872684800 in words is "one hundred eighteen trillion, three hundred eighty-eight billion, eight hundred seventy-two million, six hundred eighty-four thousand, eight hundred".